In terms of overall gaming performance, the graphical capabilities of the AMD Radeon HD 8510G are massively better than the Nvidia GeForce 7000M/nForce 610M.
The Radeon HD 8510G was released over three years more recently than the GeForce 7000M/nForce 610M, and so the Radeon HD 8510G is likely to have far better driver support, meaning it will be much more optimized and ultimately superior to the GeForce 7000M/nForce 610M when running the latest games.
The Radeon HD 8510G and the GeForce 7000M/nForce 610M have the same amount of video memory, but are likely to provide slightly different experiences when displaying game textures at high resolutions.
The memory bandwidth of the Radeon HD 8510G and the GeForce 7000M/nForce 610M are the same, which means the Radeon HD 8510G and the GeForce 7000M/nForce 610M have equal limitations when it comes to graphical data transfer.
The Radeon HD 8510G has 384 Shader Processing Units but the GeForce 7000M/nForce 610M does not have an entry, so the two GPUs cannot be reliably compared in this area.
Radeon HD 8510G is featured in some ULV APUs.
Not much is known about it at the moment but it's performance is close to Radeon HD 7660G, according to AMD.
GeForce 7000M is an integrated GPU in a NVIDIA motherboard (nForce 610M in this case).
Not only it uses shared memory, it only supports DirectX up to 9. Therefore, even old games (before 2005) will require reduced settings.